39 is separated into two parts 9 and 30
Step-by-step explanation:
The given is:
Separate 39 into two parts
4 times the smaller part exceeds the larger part by 6
Assume that the smaller part is x and the larger part is y
∵ 39 is separate into two parts x and y
∴ x + y = 39 ⇒ (1)
∵ x is the smaller part
∵ y is the larger part
∵ 4 times the smaller part exceeds the larger part by 6
- Multiply x by 4 and subtract y from it to get 6
∴ 4x - y = 6 ⇒ (2)
Now we have a system of equations to solve it
Add equations (1) and (2) to eliminate y
∵ (x + 4x) + (y - y) = (39 + 6)
∴ 5x = 45
- Divide both sides by 5
∴ x = 9
Substitute the value of x in equation (1) to find y
∴ 9 + y = 39
- Subtract 9 from both sides
∴ y = 30
∴ The smaller part is 9 and the larger part is 30
39 is separated into two parts 9 and 30
Learn more:
You can learn more about the system of equations in brainly.com/question/6075514
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